Krasil'shchik-Schouten括号的生成算子
Generating Operators of the Krasil'shchik-Schouten bracket
摘要：
本文证明了，给定超流形的分次交换代数的结构层上的一个发散算子，可以构造Krashil'shchik-Schouten括号的生成算子。这是一类特殊的双阶Gerstenhaber代数的生成算子的构造的一个特例。此外，这些结果的推广到$n-$分次Jacobi代数的背景下的一些评论。
英文摘要：
It is proved that given a divergence operator on the structural sheaf of graded commutative algebras of a supermanifold, it is possible to construct a generating operator for the Krashil'shchik-Schouten bracket. This is a particular case of the construction of generating operators for a special class of bigraded Gerstenhaber algebras. Also, some comments on the generalization of these results to the context of $n-$graded Jacobi algebras are included.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
